Okay so first let's find out our other angle. Since this is a triangle, it has 180°. We have two measurements already, 53° and 90°. To find the other angle simply add the angles and subtract by 180.
[tex]53 + 90 = 143[/tex]
[tex]180 - 143 = 37[/tex]
So our missing angle (D) is 37°.
To solve for our x we will be using the sine ratio and cosine ratio.
[tex] \sin(x) = \frac{opposite}{hypotenuse} [/tex]
Let's plug in our numbers,
sin(53°) = x over 27
X ≈ 21.56
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I hope that helps you out !!
Any more questions, please feel free to ask me and I will gladly help you out !!
~Zoey
